7(3x+2)=4(3x+5)

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Solution for 7(3x+2)=4(3x+5) equation:


Simplifying
7(3x + 2) = 4(3x + 5)

Reorder the terms:
7(2 + 3x) = 4(3x + 5)
(2 * 7 + 3x * 7) = 4(3x + 5)
(14 + 21x) = 4(3x + 5)

Reorder the terms:
14 + 21x = 4(5 + 3x)
14 + 21x = (5 * 4 + 3x * 4)
14 + 21x = (20 + 12x)

Solving
14 + 21x = 20 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
14 + 21x + -12x = 20 + 12x + -12x

Combine like terms: 21x + -12x = 9x
14 + 9x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
14 + 9x = 20 + 0
14 + 9x = 20

Add '-14' to each side of the equation.
14 + -14 + 9x = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = 20 + -14
9x = 20 + -14

Combine like terms: 20 + -14 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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